Sharp error bounds for some quadrature formulae and applications.
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Ujević, Nenad (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
R.J. Nessel, B. Büttgenbach, ... (1989/1990)
Numerische Mathematik
Jean B. Lasserre, Eduardo S. Zeron (2001)
Applicationes Mathematicae
We consider the problem of calculating a closed form expression for the integral of a real-valued function f:ℝⁿ → ℝ on a set S. We specialize to the particular cases when S is a convex polyhedron or an ellipsoid, and the function f is either a generalized polynomial, an exponential of a linear form (including trigonometric polynomials) or an exponential of a quadratic form. Laplace transform techniques allow us to obtain either a closed form expression, or a series representation that can be handled...
Walter Gautschi (1990)
Banach Center Publications
D.B. Hunter (1972)
Numerische Mathematik
Acu, Ana Maria, Rafiq, Arif, Sofonea, Florin (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Sándor, József, Trif, Tiberiu (2001)
International Journal of Mathematics and Mathematical Sciences
Charles A. Micchelli (1980)
Aequationes mathematicae
Simian, Dana, Simian, Corina (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
A. Fdil (1997)
Applicationes Mathematicae
Some new results on convergence acceleration for the E-algorithm which is a general extrapolation method are obtained. A technique for avoiding numerical instability is proposed. Some applications are given. Theoretical results are illustrated by numerical experiments
Milovanovic, Gradimir V., Cvetkovic, Aleksandar S. (2012)
Mathematica Balkanica New Series
MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show some applications to problems...
Roşca, Daniela (2009)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Kovačević, M.A., Milovanović, G.V. (1996)
Portugaliae Mathematica
Acu, Ana Maria (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
Udovičić, Zlatko (2010)
Mathematica Balkanica New Series
AMS Subj. Classification: 65D07, 65D30.We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials which correspond to the...
Michal Křížek, Milan Práger, Emil Vitásek (1997)
Pokroky matematiky, fyziky a astronomie
Sven-Ake Gustafson (1985)
Numerische Mathematik
Erich Novak (1988)
Numerische Mathematik
A. Begumisa, Ian Robinson (1990/1991)
Numerische Mathematik
J.L. Gout, A. Guessab (1986)
Numerische Mathematik
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